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Finding the Fourth Proportional to 5,970.71, 8,239.41 and 3,318.05

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Solution

The fourth proportional to 5,970.71, 8,239.41 and 3,318.05 is: 4,578.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.71 : 8,239.41 = 3,318.05 : x
  2. Step 2: Convert to fraction form
    5,970.71/8,239.41 = 3,318.05/x
  3. Step 3: Cross multiply
    5,970.71x = 8,239.41 × 3,318.05
  4. Step 4: Simplify right side
    5,970.71x = 27,338,774.35
  5. Step 5: Solve for x
    x = 27,338,774.35/5,970.71
  6. Step 6: Final answer
    x = 4,578.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.